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A Certain Configuration of Random Points on a Circle Associated with a Generalized Lotka-Volterra Equation

Yoshiaki Itoh
Journal of Applied Probability
Vol. 26, No. 4 (Dec., 1989), pp. 898-900
DOI: 10.2307/3214396
Stable URL: http://www.jstor.org/stable/3214396
Page Count: 3
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Certain Configuration of Random Points on a Circle Associated with a Generalized Lotka-Volterra Equation
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Abstract

Invariant integrals of a Lotka-Volterra system with infinitely many species are introduced. The values of these integrals are given by the probabilities of certain configurations of random points on a circle when the probability density on the circle satisfies a certain symmetry condition.

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